Another vicious circle [Software]

posted by Helmut Homepage – Vienna, Austria, 2013-01-06 03:21 (4556 d 10:46 ago) – Posting: # 9791
Views: 13,059

Dear Detlew!

❝ ❝ ... In the meantime I finished my balanced cross-over sim’s. n 12–60, CV 6–100%. With my grid I have 306·106 sim’s each. With rounding I got 24 (7.84%) empiric alphas significantly >0.05; without 11 (3.59%).


❝ How do you interpret the un-rounded results?


Had to have a break. Let’s see what I got from n 12, CV 6%, 106 sim’s:
50331 studies passed when BE was defined as the unrounded upper CL ≤1.25 (αemp n.s.). 50503 studies passed based on round(CLhi,4) ≤1.25 (αemp sign. >0.05). In increasing order (skipping 170):
    Unrounded.lo     Unrounded.hi  Rd.lo  Rd.hi
1.14406215516423 1.25000008857710 1.1441 1.2500

1.16009942086582 1.25004974319996 1.1601 1.2500

and
    Unrounded.lo         Unrounded.hi         Rounded.lo         Rounded.hi
Min.   :1.11998223   Min.   :1.25000009   Min.   :1.12000000   Min.   :1.25
1st Qu.:1.14730961   1st Qu.:1.25001184   1st Qu.:1.14730000   1st Qu.:1.25
Median :1.16346327   Median :1.25002528   Median :1.16345000   Median :1.25
Mean   :1.16222013   Mean   :1.25002554   Mean   :1.16221977   Mean   :1.25
3rd Qu.:1.17608605   3rd Qu.:1.25003838   3rd Qu.:1.17610000   3rd Qu.:1.25
Max.   :1.20299871   Max.   :1.25004974   Max.   :1.20300000   Max.   :1.25


Verdict: Duno. Wasn’t there a guy having a heading “Science vs. Regulations” in one of his slides? I would say the AR is based on the maximum acceptable and BE means 1– ≤ CI ≤ (1–)-1. No fucking rounding here.
It’s soooo convenient* that 100%/0.8 gives an integer. Stupidity starts with rounding the periodic decimal 100%/0.9=111.11% to 111.11% precisely (for Canada’s lumberjacks to 112.00%).
There is no rounding in theoretical statistics at all. So I have mixed feelings.

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